The shape of Pringles potato chip [closed]
Clash Royale CLAN TAG#URR8PPP
up vote
7
down vote
favorite
Why the shape of Pringles potato chip is hyperbolic paraboloid?
I found several articles that say the shape is hyperbolic paraboloid, but cannot find out why it is so. Does anyone have reasonable (and/or mathematical) answers?
geometry hyperbolic-geometry
closed as off-topic by Mike Pierce, Simply Beautiful Art, Lord Shark the Unknown, John Ma, amWhy Aug 20 at 13:01
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is not about mathematics, within the scope defined in the help center." â Mike Pierce, Simply Beautiful Art, Lord Shark the Unknown, amWhy
 |Â
show 2 more comments
up vote
7
down vote
favorite
Why the shape of Pringles potato chip is hyperbolic paraboloid?
I found several articles that say the shape is hyperbolic paraboloid, but cannot find out why it is so. Does anyone have reasonable (and/or mathematical) answers?
geometry hyperbolic-geometry
closed as off-topic by Mike Pierce, Simply Beautiful Art, Lord Shark the Unknown, John Ma, amWhy Aug 20 at 13:01
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is not about mathematics, within the scope defined in the help center." â Mike Pierce, Simply Beautiful Art, Lord Shark the Unknown, amWhy
I'd wager they thought the shape would be appealing.
â David Mitra
Dec 24 '13 at 21:04
4
I think this is a question about marketing, not mathematics.
â Newb
Dec 24 '13 at 21:05
3
Are you asking why the makers of Pringles chips chose this particular aesthetic, or how one can see that the chip pictured in your post is indeed a hyperbolic paraboloid?
â Alex Wertheim
Dec 24 '13 at 21:07
@AWertheim I'm asking the former. In particular, I'm interested in what property of hyperbolic paraboloid forces the choice of shape. (e.g. For purpose X, negative curvature is efficient.)
â Orat
Dec 24 '13 at 21:12
4
I was here to do some math. Now, I feel hungry.
â Isomorphic
Dec 26 '13 at 7:41
 |Â
show 2 more comments
up vote
7
down vote
favorite
up vote
7
down vote
favorite
Why the shape of Pringles potato chip is hyperbolic paraboloid?
I found several articles that say the shape is hyperbolic paraboloid, but cannot find out why it is so. Does anyone have reasonable (and/or mathematical) answers?
geometry hyperbolic-geometry
Why the shape of Pringles potato chip is hyperbolic paraboloid?
I found several articles that say the shape is hyperbolic paraboloid, but cannot find out why it is so. Does anyone have reasonable (and/or mathematical) answers?
geometry hyperbolic-geometry
asked Dec 24 '13 at 20:59
Orat
2,75521030
2,75521030
closed as off-topic by Mike Pierce, Simply Beautiful Art, Lord Shark the Unknown, John Ma, amWhy Aug 20 at 13:01
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is not about mathematics, within the scope defined in the help center." â Mike Pierce, Simply Beautiful Art, Lord Shark the Unknown, amWhy
closed as off-topic by Mike Pierce, Simply Beautiful Art, Lord Shark the Unknown, John Ma, amWhy Aug 20 at 13:01
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is not about mathematics, within the scope defined in the help center." â Mike Pierce, Simply Beautiful Art, Lord Shark the Unknown, amWhy
I'd wager they thought the shape would be appealing.
â David Mitra
Dec 24 '13 at 21:04
4
I think this is a question about marketing, not mathematics.
â Newb
Dec 24 '13 at 21:05
3
Are you asking why the makers of Pringles chips chose this particular aesthetic, or how one can see that the chip pictured in your post is indeed a hyperbolic paraboloid?
â Alex Wertheim
Dec 24 '13 at 21:07
@AWertheim I'm asking the former. In particular, I'm interested in what property of hyperbolic paraboloid forces the choice of shape. (e.g. For purpose X, negative curvature is efficient.)
â Orat
Dec 24 '13 at 21:12
4
I was here to do some math. Now, I feel hungry.
â Isomorphic
Dec 26 '13 at 7:41
 |Â
show 2 more comments
I'd wager they thought the shape would be appealing.
â David Mitra
Dec 24 '13 at 21:04
4
I think this is a question about marketing, not mathematics.
â Newb
Dec 24 '13 at 21:05
3
Are you asking why the makers of Pringles chips chose this particular aesthetic, or how one can see that the chip pictured in your post is indeed a hyperbolic paraboloid?
â Alex Wertheim
Dec 24 '13 at 21:07
@AWertheim I'm asking the former. In particular, I'm interested in what property of hyperbolic paraboloid forces the choice of shape. (e.g. For purpose X, negative curvature is efficient.)
â Orat
Dec 24 '13 at 21:12
4
I was here to do some math. Now, I feel hungry.
â Isomorphic
Dec 26 '13 at 7:41
I'd wager they thought the shape would be appealing.
â David Mitra
Dec 24 '13 at 21:04
I'd wager they thought the shape would be appealing.
â David Mitra
Dec 24 '13 at 21:04
4
4
I think this is a question about marketing, not mathematics.
â Newb
Dec 24 '13 at 21:05
I think this is a question about marketing, not mathematics.
â Newb
Dec 24 '13 at 21:05
3
3
Are you asking why the makers of Pringles chips chose this particular aesthetic, or how one can see that the chip pictured in your post is indeed a hyperbolic paraboloid?
â Alex Wertheim
Dec 24 '13 at 21:07
Are you asking why the makers of Pringles chips chose this particular aesthetic, or how one can see that the chip pictured in your post is indeed a hyperbolic paraboloid?
â Alex Wertheim
Dec 24 '13 at 21:07
@AWertheim I'm asking the former. In particular, I'm interested in what property of hyperbolic paraboloid forces the choice of shape. (e.g. For purpose X, negative curvature is efficient.)
â Orat
Dec 24 '13 at 21:12
@AWertheim I'm asking the former. In particular, I'm interested in what property of hyperbolic paraboloid forces the choice of shape. (e.g. For purpose X, negative curvature is efficient.)
â Orat
Dec 24 '13 at 21:12
4
4
I was here to do some math. Now, I feel hungry.
â Isomorphic
Dec 26 '13 at 7:41
I was here to do some math. Now, I feel hungry.
â Isomorphic
Dec 26 '13 at 7:41
 |Â
show 2 more comments
5 Answers
5
active
oldest
votes
up vote
12
down vote
- The shape is self centering hence easy to stack up
- There is no trajectory that allows you to break up into predictable pieces, it's a saddle look it up, so increases the crunchy feeling hence that weird satisfaction. (homework: where do they find those extra long potatoes to make the fries?)
- It is relatively more feasible to manufacture the press block compared to other shapes. (Do you know the original size of a plastic cola bottle before it expands?)
But these are all true in hindsight; the real procedure is to do ridiculous amount of user study and then figure out why it works.
For example why washing machine doors are circular? Why toothbrush manufacturers want to have angles in fact you can easily rely on the technology known as your elbow etc.
Initially Pringles were a marketing disaster, and while targeted at young people they were in fact purchased by their grandparents because the reconstituted potato shapes remained crispy longer than standard chips/crisps made by slicing potatoes.
â Henry
Oct 9 '14 at 9:16
add a comment |Â
up vote
2
down vote
I think pringles are shaped because they are designed to fit perfectly in your mouth .the roof of your mouth holds that shape and when you began to crunch your tongue fits perfectly under it to give you that awesome full taste of your chip
2
Wonder if it can be made mathematical at all! But as per the site guidelines, I suspect if this is an acceptable answer!
â Jesse P Francis
May 7 '15 at 19:24
add a comment |Â
up vote
0
down vote
It's called minimal surface. If you'll let a slice of bread drying it will naturally take this shape.
7
Well, then it's most definitely not a hyperbolic paraboloid.
â Ted Shifrin
Dec 24 '13 at 21:45
add a comment |Â
up vote
0
down vote
The reason for it might be something like this-
Anything when given heat tries to minimize its surface energy. e.g. Bubble are formed because of surface tension force, to minimize stresses on surface of bubble, it forms spherical form, hence only stress acting on it will be normal pressure (Actually it is more precise to say static pressure).
But potato chips are discs with an-isotropic behavior, contracts and expands with different rates when water is evaporated, so it can neither form a spherical bubble to minimize energy nor any other closed shape because of high surface energy. Hence it ends up having highly distorted multidimensional geometry. But if you can develop a material which has different rated of contraction in only two direction, it might be possible to get a hyperbolic paraboloid.
add a comment |Â
up vote
0
down vote
The hyperbolic paraboloid has an area, hence volume, that is greater than the chip would have if it was in the form of a flat disc in the same cylindrical package. So, the deceptively small package is cheaper to make than a cylinder that would accommodate a chip of the same volume in the form of a flat disc.
And the shape is kind of neat in a solid geometry sort of way.
add a comment |Â
5 Answers
5
active
oldest
votes
5 Answers
5
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
12
down vote
- The shape is self centering hence easy to stack up
- There is no trajectory that allows you to break up into predictable pieces, it's a saddle look it up, so increases the crunchy feeling hence that weird satisfaction. (homework: where do they find those extra long potatoes to make the fries?)
- It is relatively more feasible to manufacture the press block compared to other shapes. (Do you know the original size of a plastic cola bottle before it expands?)
But these are all true in hindsight; the real procedure is to do ridiculous amount of user study and then figure out why it works.
For example why washing machine doors are circular? Why toothbrush manufacturers want to have angles in fact you can easily rely on the technology known as your elbow etc.
Initially Pringles were a marketing disaster, and while targeted at young people they were in fact purchased by their grandparents because the reconstituted potato shapes remained crispy longer than standard chips/crisps made by slicing potatoes.
â Henry
Oct 9 '14 at 9:16
add a comment |Â
up vote
12
down vote
- The shape is self centering hence easy to stack up
- There is no trajectory that allows you to break up into predictable pieces, it's a saddle look it up, so increases the crunchy feeling hence that weird satisfaction. (homework: where do they find those extra long potatoes to make the fries?)
- It is relatively more feasible to manufacture the press block compared to other shapes. (Do you know the original size of a plastic cola bottle before it expands?)
But these are all true in hindsight; the real procedure is to do ridiculous amount of user study and then figure out why it works.
For example why washing machine doors are circular? Why toothbrush manufacturers want to have angles in fact you can easily rely on the technology known as your elbow etc.
Initially Pringles were a marketing disaster, and while targeted at young people they were in fact purchased by their grandparents because the reconstituted potato shapes remained crispy longer than standard chips/crisps made by slicing potatoes.
â Henry
Oct 9 '14 at 9:16
add a comment |Â
up vote
12
down vote
up vote
12
down vote
- The shape is self centering hence easy to stack up
- There is no trajectory that allows you to break up into predictable pieces, it's a saddle look it up, so increases the crunchy feeling hence that weird satisfaction. (homework: where do they find those extra long potatoes to make the fries?)
- It is relatively more feasible to manufacture the press block compared to other shapes. (Do you know the original size of a plastic cola bottle before it expands?)
But these are all true in hindsight; the real procedure is to do ridiculous amount of user study and then figure out why it works.
For example why washing machine doors are circular? Why toothbrush manufacturers want to have angles in fact you can easily rely on the technology known as your elbow etc.
- The shape is self centering hence easy to stack up
- There is no trajectory that allows you to break up into predictable pieces, it's a saddle look it up, so increases the crunchy feeling hence that weird satisfaction. (homework: where do they find those extra long potatoes to make the fries?)
- It is relatively more feasible to manufacture the press block compared to other shapes. (Do you know the original size of a plastic cola bottle before it expands?)
But these are all true in hindsight; the real procedure is to do ridiculous amount of user study and then figure out why it works.
For example why washing machine doors are circular? Why toothbrush manufacturers want to have angles in fact you can easily rely on the technology known as your elbow etc.
edited Dec 26 '13 at 7:33


Martin Sleziak
43.5k6113260
43.5k6113260
answered Dec 24 '13 at 21:21
Kronos
1212
1212
Initially Pringles were a marketing disaster, and while targeted at young people they were in fact purchased by their grandparents because the reconstituted potato shapes remained crispy longer than standard chips/crisps made by slicing potatoes.
â Henry
Oct 9 '14 at 9:16
add a comment |Â
Initially Pringles were a marketing disaster, and while targeted at young people they were in fact purchased by their grandparents because the reconstituted potato shapes remained crispy longer than standard chips/crisps made by slicing potatoes.
â Henry
Oct 9 '14 at 9:16
Initially Pringles were a marketing disaster, and while targeted at young people they were in fact purchased by their grandparents because the reconstituted potato shapes remained crispy longer than standard chips/crisps made by slicing potatoes.
â Henry
Oct 9 '14 at 9:16
Initially Pringles were a marketing disaster, and while targeted at young people they were in fact purchased by their grandparents because the reconstituted potato shapes remained crispy longer than standard chips/crisps made by slicing potatoes.
â Henry
Oct 9 '14 at 9:16
add a comment |Â
up vote
2
down vote
I think pringles are shaped because they are designed to fit perfectly in your mouth .the roof of your mouth holds that shape and when you began to crunch your tongue fits perfectly under it to give you that awesome full taste of your chip
2
Wonder if it can be made mathematical at all! But as per the site guidelines, I suspect if this is an acceptable answer!
â Jesse P Francis
May 7 '15 at 19:24
add a comment |Â
up vote
2
down vote
I think pringles are shaped because they are designed to fit perfectly in your mouth .the roof of your mouth holds that shape and when you began to crunch your tongue fits perfectly under it to give you that awesome full taste of your chip
2
Wonder if it can be made mathematical at all! But as per the site guidelines, I suspect if this is an acceptable answer!
â Jesse P Francis
May 7 '15 at 19:24
add a comment |Â
up vote
2
down vote
up vote
2
down vote
I think pringles are shaped because they are designed to fit perfectly in your mouth .the roof of your mouth holds that shape and when you began to crunch your tongue fits perfectly under it to give you that awesome full taste of your chip
I think pringles are shaped because they are designed to fit perfectly in your mouth .the roof of your mouth holds that shape and when you began to crunch your tongue fits perfectly under it to give you that awesome full taste of your chip
answered May 7 '15 at 19:18
Yolanda whitley
211
211
2
Wonder if it can be made mathematical at all! But as per the site guidelines, I suspect if this is an acceptable answer!
â Jesse P Francis
May 7 '15 at 19:24
add a comment |Â
2
Wonder if it can be made mathematical at all! But as per the site guidelines, I suspect if this is an acceptable answer!
â Jesse P Francis
May 7 '15 at 19:24
2
2
Wonder if it can be made mathematical at all! But as per the site guidelines, I suspect if this is an acceptable answer!
â Jesse P Francis
May 7 '15 at 19:24
Wonder if it can be made mathematical at all! But as per the site guidelines, I suspect if this is an acceptable answer!
â Jesse P Francis
May 7 '15 at 19:24
add a comment |Â
up vote
0
down vote
It's called minimal surface. If you'll let a slice of bread drying it will naturally take this shape.
7
Well, then it's most definitely not a hyperbolic paraboloid.
â Ted Shifrin
Dec 24 '13 at 21:45
add a comment |Â
up vote
0
down vote
It's called minimal surface. If you'll let a slice of bread drying it will naturally take this shape.
7
Well, then it's most definitely not a hyperbolic paraboloid.
â Ted Shifrin
Dec 24 '13 at 21:45
add a comment |Â
up vote
0
down vote
up vote
0
down vote
It's called minimal surface. If you'll let a slice of bread drying it will naturally take this shape.
It's called minimal surface. If you'll let a slice of bread drying it will naturally take this shape.
answered Dec 24 '13 at 21:36
Michael Hoppe
9,62131432
9,62131432
7
Well, then it's most definitely not a hyperbolic paraboloid.
â Ted Shifrin
Dec 24 '13 at 21:45
add a comment |Â
7
Well, then it's most definitely not a hyperbolic paraboloid.
â Ted Shifrin
Dec 24 '13 at 21:45
7
7
Well, then it's most definitely not a hyperbolic paraboloid.
â Ted Shifrin
Dec 24 '13 at 21:45
Well, then it's most definitely not a hyperbolic paraboloid.
â Ted Shifrin
Dec 24 '13 at 21:45
add a comment |Â
up vote
0
down vote
The reason for it might be something like this-
Anything when given heat tries to minimize its surface energy. e.g. Bubble are formed because of surface tension force, to minimize stresses on surface of bubble, it forms spherical form, hence only stress acting on it will be normal pressure (Actually it is more precise to say static pressure).
But potato chips are discs with an-isotropic behavior, contracts and expands with different rates when water is evaporated, so it can neither form a spherical bubble to minimize energy nor any other closed shape because of high surface energy. Hence it ends up having highly distorted multidimensional geometry. But if you can develop a material which has different rated of contraction in only two direction, it might be possible to get a hyperbolic paraboloid.
add a comment |Â
up vote
0
down vote
The reason for it might be something like this-
Anything when given heat tries to minimize its surface energy. e.g. Bubble are formed because of surface tension force, to minimize stresses on surface of bubble, it forms spherical form, hence only stress acting on it will be normal pressure (Actually it is more precise to say static pressure).
But potato chips are discs with an-isotropic behavior, contracts and expands with different rates when water is evaporated, so it can neither form a spherical bubble to minimize energy nor any other closed shape because of high surface energy. Hence it ends up having highly distorted multidimensional geometry. But if you can develop a material which has different rated of contraction in only two direction, it might be possible to get a hyperbolic paraboloid.
add a comment |Â
up vote
0
down vote
up vote
0
down vote
The reason for it might be something like this-
Anything when given heat tries to minimize its surface energy. e.g. Bubble are formed because of surface tension force, to minimize stresses on surface of bubble, it forms spherical form, hence only stress acting on it will be normal pressure (Actually it is more precise to say static pressure).
But potato chips are discs with an-isotropic behavior, contracts and expands with different rates when water is evaporated, so it can neither form a spherical bubble to minimize energy nor any other closed shape because of high surface energy. Hence it ends up having highly distorted multidimensional geometry. But if you can develop a material which has different rated of contraction in only two direction, it might be possible to get a hyperbolic paraboloid.
The reason for it might be something like this-
Anything when given heat tries to minimize its surface energy. e.g. Bubble are formed because of surface tension force, to minimize stresses on surface of bubble, it forms spherical form, hence only stress acting on it will be normal pressure (Actually it is more precise to say static pressure).
But potato chips are discs with an-isotropic behavior, contracts and expands with different rates when water is evaporated, so it can neither form a spherical bubble to minimize energy nor any other closed shape because of high surface energy. Hence it ends up having highly distorted multidimensional geometry. But if you can develop a material which has different rated of contraction in only two direction, it might be possible to get a hyperbolic paraboloid.
answered Mar 13 at 14:08
Aneeket Lande
33
33
add a comment |Â
add a comment |Â
up vote
0
down vote
The hyperbolic paraboloid has an area, hence volume, that is greater than the chip would have if it was in the form of a flat disc in the same cylindrical package. So, the deceptively small package is cheaper to make than a cylinder that would accommodate a chip of the same volume in the form of a flat disc.
And the shape is kind of neat in a solid geometry sort of way.
add a comment |Â
up vote
0
down vote
The hyperbolic paraboloid has an area, hence volume, that is greater than the chip would have if it was in the form of a flat disc in the same cylindrical package. So, the deceptively small package is cheaper to make than a cylinder that would accommodate a chip of the same volume in the form of a flat disc.
And the shape is kind of neat in a solid geometry sort of way.
add a comment |Â
up vote
0
down vote
up vote
0
down vote
The hyperbolic paraboloid has an area, hence volume, that is greater than the chip would have if it was in the form of a flat disc in the same cylindrical package. So, the deceptively small package is cheaper to make than a cylinder that would accommodate a chip of the same volume in the form of a flat disc.
And the shape is kind of neat in a solid geometry sort of way.
The hyperbolic paraboloid has an area, hence volume, that is greater than the chip would have if it was in the form of a flat disc in the same cylindrical package. So, the deceptively small package is cheaper to make than a cylinder that would accommodate a chip of the same volume in the form of a flat disc.
And the shape is kind of neat in a solid geometry sort of way.
answered Aug 15 at 2:59
ARNOLD WEISENBERG
1
1
add a comment |Â
add a comment |Â
I'd wager they thought the shape would be appealing.
â David Mitra
Dec 24 '13 at 21:04
4
I think this is a question about marketing, not mathematics.
â Newb
Dec 24 '13 at 21:05
3
Are you asking why the makers of Pringles chips chose this particular aesthetic, or how one can see that the chip pictured in your post is indeed a hyperbolic paraboloid?
â Alex Wertheim
Dec 24 '13 at 21:07
@AWertheim I'm asking the former. In particular, I'm interested in what property of hyperbolic paraboloid forces the choice of shape. (e.g. For purpose X, negative curvature is efficient.)
â Orat
Dec 24 '13 at 21:12
4
I was here to do some math. Now, I feel hungry.
â Isomorphic
Dec 26 '13 at 7:41